Classification of unimodal isolated complete intersection singularities in positive characteristic

TL;DR

This paper classifies unimodal isolated complete intersection singularities in positive characteristic, extending previous complex field results by generalizing the transversal method.

Contribution

It introduces a generalized complete transversal method applicable in positive characteristic fields for classifying singularities.

Findings

Complete classification achieved for unimodal isolated complete intersection singularities in positive characteristic.

Generalized transversal method proves effective in positive characteristic classification problems.

Extends complex classification results to broader algebraic settings.

Abstract

In this paper we classify the unimodal isolated complete intersection singularities in arbitrary characteristic under contact equivalence. The classification over $\mathbb{C}$ has already done by A. Dimca and C.G. Gibson. We continue and generalize their work. To complete the classification, we generalized the complete transversal method into positive characteristic field, which is also useful in many other classification problem.